.006 To Fraction

3 min read Jul 02, 2024
.006 To Fraction

Convert 0.006 to a Fraction

In this article, we will learn how to convert the decimal number 0.006 to a fraction.

What is a Fraction?

A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.

Converting 0.006 to a Fraction

To convert 0.006 to a fraction, we need to find the equivalent fraction that has the same value as the decimal number.

Step 1: Divide by the Denominator

We can start by dividing 0.006 by the denominator, which is 1. This will give us:

0.006 ÷ 1 = 0.006

Step 2: Find the Equivalent Fraction

Since 0.006 is a decimal number, we need to find the equivalent fraction that has the same value. To do this, we can multiply both the numerator and the denominator by a power of 10 (in this case, 1000) to get rid of the decimal places:

0.006 × 1000 = 6 1 × 1000 = 1000

So, the equivalent fraction is:

6/1000

Simplifying the Fraction

We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 6 and 1000 is 2, so we can divide both numbers by 2:

6 ÷ 2 = 3 1000 ÷ 2 = 500

The simplified fraction is:

3/500

Therefore, the decimal number 0.006 is equal to the fraction 3/500.

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